6367680000 has 800 divisors, whose sum is σ = 26078152320. Its totient is φ = 1520640000.

The previous prime is 6367679999. The next prime is 6367680043. The reversal of 6367680000 is 867636.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95039967 + ... + 95040033.

Almost surely, 2^6367680000 is an apocalyptic number.

6367680000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6367680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039076160).

6367680000 is an abundant number, since it is smaller than the sum of its proper divisors (19710472320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6367680000 is an equidigital number, since it uses as much as digits as its factorization.

6367680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6367680000 is about 79797.7443290222. The cubic root of 6367680000 is about 1853.5049211709.

The spelling of 6367680000 in words is "six billion, three hundred sixty-seven million, six hundred eighty thousand".